Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian.

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The purpose of this paper is to extend the Díaz-Saá’s inequality for the unbounded domains as RN.The proof is based on the Picone’s identity which is very useful in problems involving p-Laplacian. In a second part, we study some properties of the first eigenvalue for a system of p-Laplacian. We use Díaz-Saá’s inequality to prove uniqueness and Egorov’s theorem for the isolation. These results generalize J. Fleckinger, R. F. Manásevich, N. M. Stavrakakis and F. de Thélin’s work [9] for the first property and A. Anane’s one for the isolation.

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Chaïb, Karim. "Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian.." Publicacions Matemàtiques 46.2 (2002): 473-488. <http://eudml.org/doc/41462>.

@article{Chaïb2002, abstract = {The purpose of this paper is to extend the Díaz-Saá’s inequality for the unbounded domains as RN.The proof is based on the Picone’s identity which is very useful in problems involving p-Laplacian. In a second part, we study some properties of the first eigenvalue for a system of p-Laplacian. We use Díaz-Saá’s inequality to prove uniqueness and Egorov’s theorem for the isolation. These results generalize J. Fleckinger, R. F. Manásevich, N. M. Stavrakakis and F. de Thélin’s work [9] for the first property and A. Anane’s one for the isolation.}, author = {Chaïb, Karim}, journal = {Publicacions Matemàtiques}, keywords = {Ecuaciones diferenciales elípticas; Problemas de valor de frontera; Operador laplaciano; Desigualdades; Dominios no acotados; -Laplacian; Díaz-Saá’s inequality; Picone's identity; Egorov's theorem}, language = {eng}, number = {2}, pages = {473-488}, title = {Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian.}, url = {http://eudml.org/doc/41462}, volume = {46}, year = {2002},}

TY - JOURAU - Chaïb, KarimTI - Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian.JO - Publicacions MatemàtiquesPY - 2002VL - 46IS - 2SP - 473EP - 488AB - The purpose of this paper is to extend the Díaz-Saá’s inequality for the unbounded domains as RN.The proof is based on the Picone’s identity which is very useful in problems involving p-Laplacian. In a second part, we study some properties of the first eigenvalue for a system of p-Laplacian. We use Díaz-Saá’s inequality to prove uniqueness and Egorov’s theorem for the isolation. These results generalize J. Fleckinger, R. F. Manásevich, N. M. Stavrakakis and F. de Thélin’s work [9] for the first property and A. Anane’s one for the isolation.LA - engKW - Ecuaciones diferenciales elípticas; Problemas de valor de frontera; Operador laplaciano; Desigualdades; Dominios no acotados; -Laplacian; Díaz-Saá’s inequality; Picone's identity; Egorov's theoremUR - http://eudml.org/doc/41462ER -